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Dot Product:
The dot or inner product of two vectors a and b is written as a • b and is defined as
In another words, this is like matrix multiplication when multiplying a row vector a by a column vector b; and the result is a scalar. This can be accomplished by using the * operator and transposing the second vector, or by using the dot function in a MATLAB:
>> vec1 = [4 2 5 1];
>> vec2 = [3 6 1 2];
>> vec1*vec2'
ans =
31
>> dot(vec1,vec2)
Basic mathematical operations: All the basic mathematical operations can be executed on symbolic expressions and variables (example, add, raise to a power, multiply, subtract,
Example to change the line width from the default: For illustration, to change the line width from the default of 0.5 to 1.5: >> set(hl,'LineWidth',1.5) As long as the
Storing Strings in Cell Arrays: The one good application of a cell array is to store strings of various lengths. As cell arrays can store various types of values in the elemen
Evaluating a string: The function eval is used to compute a string as a function. For illustration, below is the string 'plot(x)'is interpreted to be a call to plot the functi
Plotting from a Function: The following function creates a Figure Window as shown in figure, which shows various types of plots for similar y vector. The vector is passed as a
function
Q.1: Consider the transmission of a sinusoid x(t) = cos(2f0t) through a channel a ected by multipath and Doppler. Let there be two paths, and assume the sinusoid is being sent fro
Use of While loop: Here is an illustration of calling the function, passing 5000 for the value of the input argument high. >> factgthigh(5000) ans = 5040 The itera
Replacing, Finding, and separating strings: There are numerous functions which find and replace the strings, or parts of strings, within the other strings and functions which
Example of image processing: The other illustration generates a 5 × 5 matrix of arbitrary integers in the range from 1 to the number of colors; the resultant image is as shown
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